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Finding the Fourth Proportional to 137.89, 188.61 and 135.78

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Solution

The fourth proportional to 137.89, 188.61 and 135.78 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.89 : 188.61 = 135.78 : x
  2. Step 2: Convert to fraction form
    137.89/188.61 = 135.78/x
  3. Step 3: Cross multiply
    137.89x = 188.61 × 135.78
  4. Step 4: Simplify right side
    137.89x = 25,609.47
  5. Step 5: Solve for x
    x = 25,609.47/137.89
  6. Step 6: Final answer
    x = 185.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.